Energy or speed needed to escape from the surface, a height or an orbit
This type of question, asked 3 times: 11 Apr 2023, 6 Apr 2024, 4 Apr 2025. All 4 questions below, oldest first.
Try each one first, then open its answer.
Question 1
11 Apr 2023
101A spaceship is launched into a circular orbit close to the earth surface. The additional velocity to be imparted to the spaceship in the orbit to overcome the gravitational pull will be (if and radius of earth )Tap an option to check your answer.
Question 2
6 Apr 2024
4To project a body of mass from earth's surface to infinity, the required kinetic energy is (assume, the radius of earth is acceleration due to gravity on the surface of earth) :Tap an option to check your answer.
Question 3
4 Apr 2025
14Given below are two statements : one is labelled as Assertion A and the other is labelled as Reason R . Assertion A : The kinetic energy needed to project a body of mass from earth surface to infinity is , where R is the radius of earth. Reason R : The maximum potential energy of a body is zero when it is projected to infinity from earth surface. In the light of the above statements, choose the correct answer from the option given belowTap an option to check your answer.
Question 4
4 Apr 2025
84An object is kept at rest at a distance of above the earth's surface where is earth's radius. The minimum speed with which it must be projected so that it does not return to earth is: (Assume mass of earth, Universal gravitational constant)Tap an option to check your answer.